What is the Greatest Common Factor of 67416 and 67432?
Greatest common factor (GCF) of 67416 and 67432 is 8.
GCF(67416,67432) = 8
We will now calculate the prime factors of 67416 and 67432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67416 and 67432.
How to find the GCF of 67416 and 67432?
We will first find the prime factorization of 67416 and 67432. After we will calculate the factors of 67416 and 67432 and find the biggest common factor number .
Step-1: Prime Factorization of 67416
Prime factors of 67416 are 2, 3, 53. Prime factorization of 67416 in exponential form is:
67416 = 23 × 31 × 532
Step-2: Prime Factorization of 67432
Prime factors of 67432 are 2, 8429. Prime factorization of 67432 in exponential form is:
67432 = 23 × 84291
Step-3: Factors of 67416
List of positive integer factors of 67416 that divides 67416 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272, 2809, 5618, 8427, 11236, 16854, 22472, 33708
Step-4: Factors of 67432
List of positive integer factors of 67432 that divides 67416 without a remainder.
1, 2, 4, 8, 8429, 16858, 33716
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67416 and 67432. The biggest common factor number is the GCF number.
So the greatest common factor 67416 and 67432 is 8.
Also check out the Least Common Multiple of 67416 and 67432
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