What is the Greatest Common Factor of 53714 and 53732?

Greatest common factor (GCF) of 53714 and 53732 is 2.

GCF(53714,53732) = 2

We will now calculate the prime factors of 53714 and 53732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53714 and 53732.

How to find the GCF of 53714 and 53732?

We will first find the prime factorization of 53714 and 53732. After we will calculate the factors of 53714 and 53732 and find the biggest common factor number .

Step-1: Prime Factorization of 53714

Prime factors of 53714 are 2, 107, 251. Prime factorization of 53714 in exponential form is:

53714 = 2¹ × 107¹ × 251¹

Step-2: Prime Factorization of 53732

Prime factors of 53732 are 2, 7, 19, 101. Prime factorization of 53732 in exponential form is:

53732 = 2² × 7¹ × 19¹ × 101¹

Step-3: Factors of 53714

List of positive integer factors of 53714 that divides 53714 without a remainder.

1, 2, 107, 214, 251, 502, 26857

Step-4: Factors of 53732

List of positive integer factors of 53732 that divides 53714 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 101, 133, 202, 266, 404, 532, 707, 1414, 1919, 2828, 3838, 7676, 13433, 26866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53714 and 53732. The biggest common factor number is the GCF number.
So the greatest common factor 53714 and 53732 is 2.

Also check out the Least Common Multiple of 53714 and 53732