What is the Greatest Common Factor of 1370 and 1380?

Greatest common factor (GCF) of 1370 and 1380 is 10.

GCF(1370,1380) = 10

We will now calculate the prime factors of 1370 and 1380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1370 and 1380.

How to find the GCF of 1370 and 1380?

We will first find the prime factorization of 1370 and 1380. After we will calculate the factors of 1370 and 1380 and find the biggest common factor number .

Step-1: Prime Factorization of 1370

Prime factors of 1370 are 2, 5, 137. Prime factorization of 1370 in exponential form is:

1370 = 2¹ × 5¹ × 137¹

Step-2: Prime Factorization of 1380

Prime factors of 1380 are 2, 3, 5, 23. Prime factorization of 1380 in exponential form is:

1380 = 2² × 3¹ × 5¹ × 23¹

Step-3: Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1, 2, 5, 10, 137, 274, 685

Step-4: Factors of 1380

List of positive integer factors of 1380 that divides 1370 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1370 and 1380. The biggest common factor number is the GCF number.
So the greatest common factor 1370 and 1380 is 10.

Also check out the Least Common Multiple of 1370 and 1380