What is the Greatest Common Factor of 62548 and 62560?

Greatest common factor (GCF) of 62548 and 62560 is 4.

GCF(62548,62560) = 4

We will now calculate the prime factors of 62548 and 62560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62548 and 62560.

How to find the GCF of 62548 and 62560?

We will first find the prime factorization of 62548 and 62560. After we will calculate the factors of 62548 and 62560 and find the biggest common factor number .

Step-1: Prime Factorization of 62548

Prime factors of 62548 are 2, 19, 823. Prime factorization of 62548 in exponential form is:

62548 = 2² × 19¹ × 823¹

Step-2: Prime Factorization of 62560

Prime factors of 62560 are 2, 5, 17, 23. Prime factorization of 62560 in exponential form is:

62560 = 2⁵ × 5¹ × 17¹ × 23¹

Step-3: Factors of 62548

List of positive integer factors of 62548 that divides 62548 without a remainder.

1, 2, 4, 19, 38, 76, 823, 1646, 3292, 15637, 31274

Step-4: Factors of 62560

List of positive integer factors of 62560 that divides 62548 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 23, 32, 34, 40, 46, 68, 80, 85, 92, 115, 136, 160, 170, 184, 230, 272, 340, 368, 391, 460, 544, 680, 736, 782, 920, 1360, 1564, 1840, 1955, 2720, 3128, 3680, 3910, 6256, 7820, 12512, 15640, 31280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62548 and 62560. The biggest common factor number is the GCF number.
So the greatest common factor 62548 and 62560 is 4.

Also check out the Least Common Multiple of 62548 and 62560