What is the Greatest Common Factor of 63674 and 63680?

Greatest common factor (GCF) of 63674 and 63680 is 2.

GCF(63674,63680) = 2

We will now calculate the prime factors of 63674 and 63680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63674 and 63680.

How to find the GCF of 63674 and 63680?

We will first find the prime factorization of 63674 and 63680. After we will calculate the factors of 63674 and 63680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63680

Prime factors of 63680 are 2, 5, 199. Prime factorization of 63680 in exponential form is:

63680 = 2⁶ × 5¹ × 199¹

Step-3: Factors of 63674

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

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

Step-4: Factors of 63680

List of positive integer factors of 63680 that divides 63674 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 199, 320, 398, 796, 995, 1592, 1990, 3184, 3980, 6368, 7960, 12736, 15920, 31840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63674 and 63680. The biggest common factor number is the GCF number.
So the greatest common factor 63674 and 63680 is 2.

Also check out the Least Common Multiple of 63674 and 63680