What is the Greatest Common Factor of 60928 and 60932?

Greatest common factor (GCF) of 60928 and 60932 is 4.

GCF(60928,60932) = 4

We will now calculate the prime factors of 60928 and 60932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60928 and 60932.

How to find the GCF of 60928 and 60932?

We will first find the prime factorization of 60928 and 60932. After we will calculate the factors of 60928 and 60932 and find the biggest common factor number .

Step-1: Prime Factorization of 60928

Prime factors of 60928 are 2, 7, 17. Prime factorization of 60928 in exponential form is:

60928 = 2⁹ × 7¹ × 17¹

Step-2: Prime Factorization of 60932

Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:

60932 = 2² × 15233¹

Step-3: Factors of 60928

List of positive integer factors of 60928 that divides 60928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 256, 272, 448, 476, 512, 544, 896, 952, 1088, 1792, 1904, 2176, 3584, 3808, 4352, 7616, 8704, 15232, 30464

Step-4: Factors of 60932

List of positive integer factors of 60932 that divides 60928 without a remainder.

1, 2, 4, 15233, 30466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60928 and 60932. The biggest common factor number is the GCF number.
So the greatest common factor 60928 and 60932 is 4.

Also check out the Least Common Multiple of 60928 and 60932