What is the Greatest Common Factor of 63567 and 63574?

Greatest common factor (GCF) of 63567 and 63574 is 7.

GCF(63567,63574) = 7

We will now calculate the prime factors of 63567 and 63574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63567 and 63574.

How to find the GCF of 63567 and 63574?

We will first find the prime factorization of 63567 and 63574. After we will calculate the factors of 63567 and 63574 and find the biggest common factor number .

Step-1: Prime Factorization of 63567

Prime factors of 63567 are 3, 7, 1009. Prime factorization of 63567 in exponential form is:

63567 = 3² × 7¹ × 1009¹

Step-2: 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-3: Factors of 63567

List of positive integer factors of 63567 that divides 63567 without a remainder.

1, 3, 7, 9, 21, 63, 1009, 3027, 7063, 9081, 21189

Step-4: Factors of 63574

List of positive integer factors of 63574 that divides 63567 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63567 and 63574. The biggest common factor number is the GCF number.
So the greatest common factor 63567 and 63574 is 7.

Also check out the Least Common Multiple of 63567 and 63574