What is the Greatest Common Factor of 73095 and 73112?

Greatest common factor (GCF) of 73095 and 73112 is 1.

GCF(73095,73112) = 1

We will now calculate the prime factors of 73095 and 73112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73095 and 73112.

How to find the GCF of 73095 and 73112?

We will first find the prime factorization of 73095 and 73112. After we will calculate the factors of 73095 and 73112 and find the biggest common factor number .

Step-1: Prime Factorization of 73095

Prime factors of 73095 are 3, 5, 11, 443. Prime factorization of 73095 in exponential form is:

73095 = 3¹ × 5¹ × 11¹ × 443¹

Step-2: 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-3: Factors of 73095

List of positive integer factors of 73095 that divides 73095 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 443, 1329, 2215, 4873, 6645, 14619, 24365

Step-4: Factors of 73112

List of positive integer factors of 73112 that divides 73095 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73095 and 73112. The biggest common factor number is the GCF number.
So the greatest common factor 73095 and 73112 is 1.

Also check out the Least Common Multiple of 73095 and 73112