What is the Greatest Common Factor of 7140 and 7147?

Greatest common factor (GCF) of 7140 and 7147 is 7.

GCF(7140,7147) = 7

We will now calculate the prime factors of 7140 and 7147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7140 and 7147.

How to find the GCF of 7140 and 7147?

We will first find the prime factorization of 7140 and 7147. After we will calculate the factors of 7140 and 7147 and find the biggest common factor number .

Step-1: Prime Factorization of 7140

Prime factors of 7140 are 2, 3, 5, 7, 17. Prime factorization of 7140 in exponential form is:

7140 = 2² × 3¹ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 7147

Prime factors of 7147 are 7, 1021. Prime factorization of 7147 in exponential form is:

7147 = 7¹ × 1021¹

Step-3: Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570

Step-4: Factors of 7147

List of positive integer factors of 7147 that divides 7140 without a remainder.

1, 7, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7140 and 7147. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7147 is 7.

Also check out the Least Common Multiple of 7140 and 7147