What is the Greatest Common Factor of 34672 and 34692?

Greatest common factor (GCF) of 34672 and 34692 is 4.

GCF(34672,34692) = 4

We will now calculate the prime factors of 34672 and 34692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34672 and 34692.

How to find the GCF of 34672 and 34692?

We will first find the prime factorization of 34672 and 34692. After we will calculate the factors of 34672 and 34692 and find the biggest common factor number .

Step-1: Prime Factorization of 34672

Prime factors of 34672 are 2, 11, 197. Prime factorization of 34672 in exponential form is:

34672 = 2⁴ × 11¹ × 197¹

Step-2: Prime Factorization of 34692

Prime factors of 34692 are 2, 3, 7, 59. Prime factorization of 34692 in exponential form is:

34692 = 2² × 3¹ × 7² × 59¹

Step-3: Factors of 34672

List of positive integer factors of 34672 that divides 34672 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 197, 394, 788, 1576, 2167, 3152, 4334, 8668, 17336

Step-4: Factors of 34692

List of positive integer factors of 34692 that divides 34672 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 59, 84, 98, 118, 147, 177, 196, 236, 294, 354, 413, 588, 708, 826, 1239, 1652, 2478, 2891, 4956, 5782, 8673, 11564, 17346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34672 and 34692. The biggest common factor number is the GCF number.
So the greatest common factor 34672 and 34692 is 4.

Also check out the Least Common Multiple of 34672 and 34692