What is the Greatest Common Factor of 63654 and 63674?

Greatest common factor (GCF) of 63654 and 63674 is 2.

GCF(63654,63674) = 2

We will now calculate the prime factors of 63654 and 63674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63654 and 63674.

How to find the GCF of 63654 and 63674?

We will first find the prime factorization of 63654 and 63674. After we will calculate the factors of 63654 and 63674 and find the biggest common factor number .

Step-1: Prime Factorization of 63654

Prime factors of 63654 are 2, 3, 103. Prime factorization of 63654 in exponential form is:

63654 = 2¹ × 3¹ × 103²

Step-2: Prime Factorization of 63674

Prime factors of 63674 are 2, 13, 31, 79. Prime factorization of 63674 in exponential form is:

63674 = 2¹ × 13¹ × 31¹ × 79¹

Step-3: Factors of 63654

List of positive integer factors of 63654 that divides 63654 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618, 10609, 21218, 31827

Step-4: Factors of 63674

List of positive integer factors of 63674 that divides 63654 without a remainder.

1, 2, 13, 26, 31, 62, 79, 158, 403, 806, 1027, 2054, 2449, 4898, 31837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63654 and 63674. The biggest common factor number is the GCF number.
So the greatest common factor 63654 and 63674 is 2.

Also check out the Least Common Multiple of 63654 and 63674