What is the Greatest Common Factor of 77316 and 77324?
Greatest common factor (GCF) of 77316 and 77324 is 4.
GCF(77316,77324) = 4
We will now calculate the prime factors of 77316 and 77324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77316 and 77324.
How to find the GCF of 77316 and 77324?
We will first find the prime factorization of 77316 and 77324. After we will calculate the factors of 77316 and 77324 and find the biggest common factor number .
Step-1: Prime Factorization of 77316
Prime factors of 77316 are 2, 3, 17, 379. Prime factorization of 77316 in exponential form is:
77316 = 22 × 31 × 171 × 3791
Step-2: Prime Factorization of 77324
Prime factors of 77324 are 2, 13, 1487. Prime factorization of 77324 in exponential form is:
77324 = 22 × 131 × 14871
Step-3: Factors of 77316
List of positive integer factors of 77316 that divides 77316 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 379, 758, 1137, 1516, 2274, 4548, 6443, 12886, 19329, 25772, 38658
Step-4: Factors of 77324
List of positive integer factors of 77324 that divides 77316 without a remainder.
1, 2, 4, 13, 26, 52, 1487, 2974, 5948, 19331, 38662
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77316 and 77324. The biggest common factor number is the GCF number.
So the greatest common factor 77316 and 77324 is 4.
Also check out the Least Common Multiple of 77316 and 77324
Related Greatest Common Factors of 77316
- GCF of 77316 and 77320
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- GCF of 77316 and 77322
- GCF of 77316 and 77323
- GCF of 77316 and 77324
- GCF of 77316 and 77325
- GCF of 77316 and 77326
- GCF of 77316 and 77327
- GCF of 77316 and 77328
- GCF of 77316 and 77329
- GCF of 77316 and 77330
- GCF of 77316 and 77331
- GCF of 77316 and 77332
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- GCF of 77316 and 77334
- GCF of 77316 and 77335
- GCF of 77316 and 77336
Related Greatest Common Factors of 77324
- GCF of 77324 and 77328
- GCF of 77324 and 77329
- GCF of 77324 and 77330
- GCF of 77324 and 77331
- GCF of 77324 and 77332
- GCF of 77324 and 77333
- GCF of 77324 and 77334
- GCF of 77324 and 77335
- GCF of 77324 and 77336
- GCF of 77324 and 77337
- GCF of 77324 and 77338
- GCF of 77324 and 77339
- GCF of 77324 and 77340
- GCF of 77324 and 77341
- GCF of 77324 and 77342
- GCF of 77324 and 77343
- GCF of 77324 and 77344