What is the Greatest Common Factor of 7140 and 7157?

Greatest common factor (GCF) of 7140 and 7157 is 17.

GCF(7140,7157) = 17

We will now calculate the prime factors of 7140 and 7157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7140 and 7157.

How to find the GCF of 7140 and 7157?

We will first find the prime factorization of 7140 and 7157. After we will calculate the factors of 7140 and 7157 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 7157

Prime factors of 7157 are 17, 421. Prime factorization of 7157 in exponential form is:

7157 = 17¹ × 421¹

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 7157

List of positive integer factors of 7157 that divides 7140 without a remainder.

1, 17, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7140 and 7157. The biggest common factor number is the GCF number.
So the greatest common factor 7140 and 7157 is 17.

Also check out the Least Common Multiple of 7140 and 7157