What is the Greatest Common Factor of 71532 and 71548?

Greatest common factor (GCF) of 71532 and 71548 is 4.

GCF(71532,71548) = 4

We will now calculate the prime factors of 71532 and 71548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71532 and 71548.

How to find the GCF of 71532 and 71548?

We will first find the prime factorization of 71532 and 71548. After we will calculate the factors of 71532 and 71548 and find the biggest common factor number .

Step-1: Prime Factorization of 71532

Prime factors of 71532 are 2, 3, 1987. Prime factorization of 71532 in exponential form is:

71532 = 2² × 3² × 1987¹

Step-2: Prime Factorization of 71548

Prime factors of 71548 are 2, 31, 577. Prime factorization of 71548 in exponential form is:

71548 = 2² × 31¹ × 577¹

Step-3: Factors of 71532

List of positive integer factors of 71532 that divides 71532 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1987, 3974, 5961, 7948, 11922, 17883, 23844, 35766

Step-4: Factors of 71548

List of positive integer factors of 71548 that divides 71532 without a remainder.

1, 2, 4, 31, 62, 124, 577, 1154, 2308, 17887, 35774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71532 and 71548. The biggest common factor number is the GCF number.
So the greatest common factor 71532 and 71548 is 4.

Also check out the Least Common Multiple of 71532 and 71548