What is the Greatest Common Factor of 63616 and 63629?

Greatest common factor (GCF) of 63616 and 63629 is 1.

GCF(63616,63629) = 1

We will now calculate the prime factors of 63616 and 63629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63616 and 63629.

How to find the GCF of 63616 and 63629?

We will first find the prime factorization of 63616 and 63629. After we will calculate the factors of 63616 and 63629 and find the biggest common factor number .

Step-1: Prime Factorization of 63616

Prime factors of 63616 are 2, 7, 71. Prime factorization of 63616 in exponential form is:

63616 = 2⁷ × 7¹ × 71¹

Step-2: Prime Factorization of 63629

Prime factors of 63629 are 63629. Prime factorization of 63629 in exponential form is:

63629 = 63629¹

Step-3: Factors of 63616

List of positive integer factors of 63616 that divides 63616 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 71, 112, 128, 142, 224, 284, 448, 497, 568, 896, 994, 1136, 1988, 2272, 3976, 4544, 7952, 9088, 15904, 31808

Step-4: Factors of 63629

List of positive integer factors of 63629 that divides 63616 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63616 and 63629. The biggest common factor number is the GCF number.
So the greatest common factor 63616 and 63629 is 1.

Also check out the Least Common Multiple of 63616 and 63629