What is the Greatest Common Factor of 63100 and 63112?

Greatest common factor (GCF) of 63100 and 63112 is 4.

GCF(63100,63112) = 4

We will now calculate the prime factors of 63100 and 63112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63100 and 63112.

How to find the GCF of 63100 and 63112?

We will first find the prime factorization of 63100 and 63112. After we will calculate the factors of 63100 and 63112 and find the biggest common factor number .

Step-1: Prime Factorization of 63100

Prime factors of 63100 are 2, 5, 631. Prime factorization of 63100 in exponential form is:

63100 = 2² × 5² × 631¹

Step-2: Prime Factorization of 63112

Prime factors of 63112 are 2, 7, 23. Prime factorization of 63112 in exponential form is:

63112 = 2³ × 7³ × 23¹

Step-3: Factors of 63100

List of positive integer factors of 63100 that divides 63100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 631, 1262, 2524, 3155, 6310, 12620, 15775, 31550

Step-4: Factors of 63112

List of positive integer factors of 63112 that divides 63100 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 343, 392, 644, 686, 1127, 1288, 1372, 2254, 2744, 4508, 7889, 9016, 15778, 31556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63100 and 63112. The biggest common factor number is the GCF number.
So the greatest common factor 63100 and 63112 is 4.

Also check out the Least Common Multiple of 63100 and 63112