What is the Greatest Common Factor of 63674 and 63685?

Greatest common factor (GCF) of 63674 and 63685 is 1.

GCF(63674,63685) = 1

We will now calculate the prime factors of 63674 and 63685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63674 and 63685.

How to find the GCF of 63674 and 63685?

We will first find the prime factorization of 63674 and 63685. After we will calculate the factors of 63674 and 63685 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 63685

Prime factors of 63685 are 5, 47, 271. Prime factorization of 63685 in exponential form is:

63685 = 5¹ × 47¹ × 271¹

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 63685

List of positive integer factors of 63685 that divides 63674 without a remainder.

1, 5, 47, 235, 271, 1355, 12737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63674 and 63685. The biggest common factor number is the GCF number.
So the greatest common factor 63674 and 63685 is 1.

Also check out the Least Common Multiple of 63674 and 63685