What is the Greatest Common Factor of 73262 and 73274?

Greatest common factor (GCF) of 73262 and 73274 is 2.

GCF(73262,73274) = 2

We will now calculate the prime factors of 73262 and 73274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73262 and 73274.

How to find the GCF of 73262 and 73274?

We will first find the prime factorization of 73262 and 73274. After we will calculate the factors of 73262 and 73274 and find the biggest common factor number .

Step-1: Prime Factorization of 73262

Prime factors of 73262 are 2, 7, 5233. Prime factorization of 73262 in exponential form is:

73262 = 2¹ × 7¹ × 5233¹

Step-2: Prime Factorization of 73274

Prime factors of 73274 are 2, 36637. Prime factorization of 73274 in exponential form is:

73274 = 2¹ × 36637¹

Step-3: Factors of 73262

List of positive integer factors of 73262 that divides 73262 without a remainder.

1, 2, 7, 14, 5233, 10466, 36631

Step-4: Factors of 73274

List of positive integer factors of 73274 that divides 73262 without a remainder.

1, 2, 36637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73262 and 73274. The biggest common factor number is the GCF number.
So the greatest common factor 73262 and 73274 is 2.

Also check out the Least Common Multiple of 73262 and 73274