What is the Greatest Common Factor of 43409 and 43428?
Greatest common factor (GCF) of 43409 and 43428 is 1.
GCF(43409,43428) = 1
We will now calculate the prime factors of 43409 and 43428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43409 and 43428.
How to find the GCF of 43409 and 43428?
We will first find the prime factorization of 43409 and 43428. After we will calculate the factors of 43409 and 43428 and find the biggest common factor number .
Step-1: Prime Factorization of 43409
Prime factors of 43409 are 83, 523. Prime factorization of 43409 in exponential form is:
43409 = 831 × 5231
Step-2: Prime Factorization of 43428
Prime factors of 43428 are 2, 3, 7, 11, 47. Prime factorization of 43428 in exponential form is:
43428 = 22 × 31 × 71 × 111 × 471
Step-3: Factors of 43409
List of positive integer factors of 43409 that divides 43409 without a remainder.
1, 83, 523
Step-4: Factors of 43428
List of positive integer factors of 43428 that divides 43409 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 47, 66, 77, 84, 94, 132, 141, 154, 188, 231, 282, 308, 329, 462, 517, 564, 658, 924, 987, 1034, 1316, 1551, 1974, 2068, 3102, 3619, 3948, 6204, 7238, 10857, 14476, 21714
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43409 and 43428. The biggest common factor number is the GCF number.
So the greatest common factor 43409 and 43428 is 1.
Also check out the Least Common Multiple of 43409 and 43428
Related Greatest Common Factors of 43409
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Related Greatest Common Factors of 43428
- GCF of 43428 and 43432
- GCF of 43428 and 43433
- GCF of 43428 and 43434
- GCF of 43428 and 43435
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- GCF of 43428 and 43438
- GCF of 43428 and 43439
- GCF of 43428 and 43440
- GCF of 43428 and 43441
- GCF of 43428 and 43442
- GCF of 43428 and 43443
- GCF of 43428 and 43444
- GCF of 43428 and 43445
- GCF of 43428 and 43446
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