What is the Greatest Common Factor of 53963 and 53976?

Greatest common factor (GCF) of 53963 and 53976 is 13.

GCF(53963,53976) = 13

We will now calculate the prime factors of 53963 and 53976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53963 and 53976.

How to find the GCF of 53963 and 53976?

We will first find the prime factorization of 53963 and 53976. After we will calculate the factors of 53963 and 53976 and find the biggest common factor number .

Step-1: Prime Factorization of 53963

Prime factors of 53963 are 7, 13, 593. Prime factorization of 53963 in exponential form is:

53963 = 7¹ × 13¹ × 593¹

Step-2: Prime Factorization of 53976

Prime factors of 53976 are 2, 3, 13, 173. Prime factorization of 53976 in exponential form is:

53976 = 2³ × 3¹ × 13¹ × 173¹

Step-3: Factors of 53963

List of positive integer factors of 53963 that divides 53963 without a remainder.

1, 7, 13, 91, 593, 4151, 7709

Step-4: Factors of 53976

List of positive integer factors of 53976 that divides 53963 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173, 312, 346, 519, 692, 1038, 1384, 2076, 2249, 4152, 4498, 6747, 8996, 13494, 17992, 26988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53963 and 53976. The biggest common factor number is the GCF number.
So the greatest common factor 53963 and 53976 is 13.

Also check out the Least Common Multiple of 53963 and 53976