What is the Greatest Common Factor of 60928 and 60948?

Greatest common factor (GCF) of 60928 and 60948 is 4.

GCF(60928,60948) = 4

We will now calculate the prime factors of 60928 and 60948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60928 and 60948.

How to find the GCF of 60928 and 60948?

We will first find the prime factorization of 60928 and 60948. After we will calculate the factors of 60928 and 60948 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 60948

Prime factors of 60948 are 2, 3, 1693. Prime factorization of 60948 in exponential form is:

60948 = 2² × 3² × 1693¹

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 60948

List of positive integer factors of 60948 that divides 60928 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1693, 3386, 5079, 6772, 10158, 15237, 20316, 30474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60928 and 60948. The biggest common factor number is the GCF number.
So the greatest common factor 60928 and 60948 is 4.

Also check out the Least Common Multiple of 60928 and 60948