What is the Greatest Common Factor of 73402 and 73422?

Greatest common factor (GCF) of 73402 and 73422 is 2.

GCF(73402,73422) = 2

We will now calculate the prime factors of 73402 and 73422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73402 and 73422.

How to find the GCF of 73402 and 73422?

We will first find the prime factorization of 73402 and 73422. After we will calculate the factors of 73402 and 73422 and find the biggest common factor number .

Step-1: Prime Factorization of 73402

Prime factors of 73402 are 2, 7, 107. Prime factorization of 73402 in exponential form is:

73402 = 2¹ × 7³ × 107¹

Step-2: Prime Factorization of 73422

Prime factors of 73422 are 2, 3, 4079. Prime factorization of 73422 in exponential form is:

73422 = 2¹ × 3² × 4079¹

Step-3: Factors of 73402

List of positive integer factors of 73402 that divides 73402 without a remainder.

1, 2, 7, 14, 49, 98, 107, 214, 343, 686, 749, 1498, 5243, 10486, 36701

Step-4: Factors of 73422

List of positive integer factors of 73422 that divides 73402 without a remainder.

1, 2, 3, 6, 9, 18, 4079, 8158, 12237, 24474, 36711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73402 and 73422. The biggest common factor number is the GCF number.
So the greatest common factor 73402 and 73422 is 2.

Also check out the Least Common Multiple of 73402 and 73422