What is the Greatest Common Factor of 71292 and 71299?

Greatest common factor (GCF) of 71292 and 71299 is 1.

GCF(71292,71299) = 1

We will now calculate the prime factors of 71292 and 71299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71292 and 71299.

How to find the GCF of 71292 and 71299?

We will first find the prime factorization of 71292 and 71299. After we will calculate the factors of 71292 and 71299 and find the biggest common factor number .

Step-1: Prime Factorization of 71292

Prime factors of 71292 are 2, 3, 13, 457. Prime factorization of 71292 in exponential form is:

71292 = 2² × 3¹ × 13¹ × 457¹

Step-2: Prime Factorization of 71299

Prime factors of 71299 are 37, 41, 47. Prime factorization of 71299 in exponential form is:

71299 = 37¹ × 41¹ × 47¹

Step-3: Factors of 71292

List of positive integer factors of 71292 that divides 71292 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 457, 914, 1371, 1828, 2742, 5484, 5941, 11882, 17823, 23764, 35646

Step-4: Factors of 71299

List of positive integer factors of 71299 that divides 71292 without a remainder.

1, 37, 41, 47, 1517, 1739, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71292 and 71299. The biggest common factor number is the GCF number.
So the greatest common factor 71292 and 71299 is 1.

Also check out the Least Common Multiple of 71292 and 71299