What is the Greatest Common Factor of 71407 and 71421?

Greatest common factor (GCF) of 71407 and 71421 is 7.

GCF(71407,71421) = 7

We will now calculate the prime factors of 71407 and 71421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71407 and 71421.

How to find the GCF of 71407 and 71421?

We will first find the prime factorization of 71407 and 71421. After we will calculate the factors of 71407 and 71421 and find the biggest common factor number .

Step-1: Prime Factorization of 71407

Prime factors of 71407 are 7, 101. Prime factorization of 71407 in exponential form is:

71407 = 7¹ × 101²

Step-2: 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-3: Factors of 71407

List of positive integer factors of 71407 that divides 71407 without a remainder.

1, 7, 101, 707, 10201

Step-4: Factors of 71421

List of positive integer factors of 71421 that divides 71407 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71407 and 71421. The biggest common factor number is the GCF number.
So the greatest common factor 71407 and 71421 is 7.

Also check out the Least Common Multiple of 71407 and 71421