What is the Greatest Common Factor of 73122 and 73136?

Greatest common factor (GCF) of 73122 and 73136 is 14.

GCF(73122,73136) = 14

We will now calculate the prime factors of 73122 and 73136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73122 and 73136.

How to find the GCF of 73122 and 73136?

We will first find the prime factorization of 73122 and 73136. After we will calculate the factors of 73122 and 73136 and find the biggest common factor number .

Step-1: Prime Factorization of 73122

Prime factors of 73122 are 2, 3, 7, 1741. Prime factorization of 73122 in exponential form is:

73122 = 2¹ × 3¹ × 7¹ × 1741¹

Step-2: Prime Factorization of 73136

Prime factors of 73136 are 2, 7, 653. Prime factorization of 73136 in exponential form is:

73136 = 2⁴ × 7¹ × 653¹

Step-3: Factors of 73122

List of positive integer factors of 73122 that divides 73122 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1741, 3482, 5223, 10446, 12187, 24374, 36561

Step-4: Factors of 73136

List of positive integer factors of 73136 that divides 73122 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 653, 1306, 2612, 4571, 5224, 9142, 10448, 18284, 36568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73122 and 73136. The biggest common factor number is the GCF number.
So the greatest common factor 73122 and 73136 is 14.

Also check out the Least Common Multiple of 73122 and 73136