What is the Greatest Common Factor of 63616 and 63630?

Greatest common factor (GCF) of 63616 and 63630 is 14.

GCF(63616,63630) = 14

We will now calculate the prime factors of 63616 and 63630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63616 and 63630.

How to find the GCF of 63616 and 63630?

We will first find the prime factorization of 63616 and 63630. After we will calculate the factors of 63616 and 63630 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 63630

Prime factors of 63630 are 2, 3, 5, 7, 101. Prime factorization of 63630 in exponential form is:

63630 = 2¹ × 3² × 5¹ × 7¹ × 101¹

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 63630

List of positive integer factors of 63630 that divides 63616 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 101, 105, 126, 202, 210, 303, 315, 505, 606, 630, 707, 909, 1010, 1414, 1515, 1818, 2121, 3030, 3535, 4242, 4545, 6363, 7070, 9090, 10605, 12726, 21210, 31815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63616 and 63630. The biggest common factor number is the GCF number.
So the greatest common factor 63616 and 63630 is 14.

Also check out the Least Common Multiple of 63616 and 63630