What is the Greatest Common Factor of 71421 and 71428?

Greatest common factor (GCF) of 71421 and 71428 is 7.

GCF(71421,71428) = 7

We will now calculate the prime factors of 71421 and 71428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71421 and 71428.

How to find the GCF of 71421 and 71428?

We will first find the prime factorization of 71421 and 71428. After we will calculate the factors of 71421 and 71428 and find the biggest common factor number .

Step-1: Prime Factorization of 71421

Prime factors of 71421 are 3, 7, 19, 179. Prime factorization of 71421 in exponential form is:

71421 = 3¹ × 7¹ × 19¹ × 179¹

Step-2: Prime Factorization of 71428

Prime factors of 71428 are 2, 7, 2551. Prime factorization of 71428 in exponential form is:

71428 = 2² × 7¹ × 2551¹

Step-3: Factors of 71421

List of positive integer factors of 71421 that divides 71421 without a remainder.

1, 3, 7, 19, 21, 57, 133, 179, 399, 537, 1253, 3401, 3759, 10203, 23807

Step-4: Factors of 71428

List of positive integer factors of 71428 that divides 71421 without a remainder.

1, 2, 4, 7, 14, 28, 2551, 5102, 10204, 17857, 35714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71421 and 71428. The biggest common factor number is the GCF number.
So the greatest common factor 71421 and 71428 is 7.

Also check out the Least Common Multiple of 71421 and 71428