What is the Greatest Common Factor of 73112 and 73132?

Greatest common factor (GCF) of 73112 and 73132 is 4.

GCF(73112,73132) = 4

We will now calculate the prime factors of 73112 and 73132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73112 and 73132.

How to find the GCF of 73112 and 73132?

We will first find the prime factorization of 73112 and 73132. After we will calculate the factors of 73112 and 73132 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 73132

Prime factors of 73132 are 2, 47, 389. Prime factorization of 73132 in exponential form is:

73132 = 2² × 47¹ × 389¹

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 73132

List of positive integer factors of 73132 that divides 73112 without a remainder.

1, 2, 4, 47, 94, 188, 389, 778, 1556, 18283, 36566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73112 and 73132. The biggest common factor number is the GCF number.
So the greatest common factor 73112 and 73132 is 4.

Also check out the Least Common Multiple of 73112 and 73132