What is the Greatest Common Factor of 63574 and 63584?

Greatest common factor (GCF) of 63574 and 63584 is 2.

GCF(63574,63584) = 2

We will now calculate the prime factors of 63574 and 63584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63574 and 63584.

How to find the GCF of 63574 and 63584?

We will first find the prime factorization of 63574 and 63584. After we will calculate the factors of 63574 and 63584 and find the biggest common factor number .

Step-1: Prime Factorization of 63574

Prime factors of 63574 are 2, 7, 19, 239. Prime factorization of 63574 in exponential form is:

63574 = 2¹ × 7¹ × 19¹ × 239¹

Step-2: Prime Factorization of 63584

Prime factors of 63584 are 2, 1987. Prime factorization of 63584 in exponential form is:

63584 = 2⁵ × 1987¹

Step-3: Factors of 63574

List of positive integer factors of 63574 that divides 63574 without a remainder.

1, 2, 7, 14, 19, 38, 133, 239, 266, 478, 1673, 3346, 4541, 9082, 31787

Step-4: Factors of 63584

List of positive integer factors of 63584 that divides 63574 without a remainder.

1, 2, 4, 8, 16, 32, 1987, 3974, 7948, 15896, 31792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63574 and 63584. The biggest common factor number is the GCF number.
So the greatest common factor 63574 and 63584 is 2.

Also check out the Least Common Multiple of 63574 and 63584