What is the Greatest Common Factor of 73112 and 73124?

Greatest common factor (GCF) of 73112 and 73124 is 4.

GCF(73112,73124) = 4

We will now calculate the prime factors of 73112 and 73124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73112 and 73124.

How to find the GCF of 73112 and 73124?

We will first find the prime factorization of 73112 and 73124. After we will calculate the factors of 73112 and 73124 and find the biggest common factor number .

Step-1: Prime Factorization of 73112

Prime factors of 73112 are 2, 13, 19, 37. Prime factorization of 73112 in exponential form is:

73112 = 2³ × 13¹ × 19¹ × 37¹

Step-2: Prime Factorization of 73124

Prime factors of 73124 are 2, 101, 181. Prime factorization of 73124 in exponential form is:

73124 = 2² × 101¹ × 181¹

Step-3: Factors of 73112

List of positive integer factors of 73112 that divides 73112 without a remainder.

1, 2, 4, 8, 13, 19, 26, 37, 38, 52, 74, 76, 104, 148, 152, 247, 296, 481, 494, 703, 962, 988, 1406, 1924, 1976, 2812, 3848, 5624, 9139, 18278, 36556

Step-4: Factors of 73124

List of positive integer factors of 73124 that divides 73112 without a remainder.

1, 2, 4, 101, 181, 202, 362, 404, 724, 18281, 36562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73112 and 73124. The biggest common factor number is the GCF number.
So the greatest common factor 73112 and 73124 is 4.

Also check out the Least Common Multiple of 73112 and 73124