What is the Greatest Common Factor of 59648 and 59660?

Greatest common factor (GCF) of 59648 and 59660 is 4.

GCF(59648,59660) = 4

We will now calculate the prime factors of 59648 and 59660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59648 and 59660.

How to find the GCF of 59648 and 59660?

We will first find the prime factorization of 59648 and 59660. After we will calculate the factors of 59648 and 59660 and find the biggest common factor number .

Step-1: Prime Factorization of 59648

Prime factors of 59648 are 2, 233. Prime factorization of 59648 in exponential form is:

59648 = 2⁸ × 233¹

Step-2: Prime Factorization of 59660

Prime factors of 59660 are 2, 5, 19, 157. Prime factorization of 59660 in exponential form is:

59660 = 2² × 5¹ × 19¹ × 157¹

Step-3: Factors of 59648

List of positive integer factors of 59648 that divides 59648 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824

Step-4: Factors of 59660

List of positive integer factors of 59660 that divides 59648 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 157, 190, 314, 380, 628, 785, 1570, 2983, 3140, 5966, 11932, 14915, 29830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59648 and 59660. The biggest common factor number is the GCF number.
So the greatest common factor 59648 and 59660 is 4.

Also check out the Least Common Multiple of 59648 and 59660