What is the Greatest Common Factor of 60536 and 60548?

Greatest common factor (GCF) of 60536 and 60548 is 4.

GCF(60536,60548) = 4

We will now calculate the prime factors of 60536 and 60548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60536 and 60548.

How to find the GCF of 60536 and 60548?

We will first find the prime factorization of 60536 and 60548. After we will calculate the factors of 60536 and 60548 and find the biggest common factor number .

Step-1: Prime Factorization of 60536

Prime factors of 60536 are 2, 7, 23, 47. Prime factorization of 60536 in exponential form is:

60536 = 2³ × 7¹ × 23¹ × 47¹

Step-2: Prime Factorization of 60548

Prime factors of 60548 are 2, 15137. Prime factorization of 60548 in exponential form is:

60548 = 2² × 15137¹

Step-3: Factors of 60536

List of positive integer factors of 60536 that divides 60536 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 47, 56, 92, 94, 161, 184, 188, 322, 329, 376, 644, 658, 1081, 1288, 1316, 2162, 2632, 4324, 7567, 8648, 15134, 30268

Step-4: Factors of 60548

List of positive integer factors of 60548 that divides 60536 without a remainder.

1, 2, 4, 15137, 30274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60536 and 60548. The biggest common factor number is the GCF number.
So the greatest common factor 60536 and 60548 is 4.

Also check out the Least Common Multiple of 60536 and 60548