What is the Greatest Common Factor of 69780 and 69790?

Greatest common factor (GCF) of 69780 and 69790 is 10.

GCF(69780,69790) = 10

We will now calculate the prime factors of 69780 and 69790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69780 and 69790.

How to find the GCF of 69780 and 69790?

We will first find the prime factorization of 69780 and 69790. After we will calculate the factors of 69780 and 69790 and find the biggest common factor number .

Step-1: Prime Factorization of 69780

Prime factors of 69780 are 2, 3, 5, 1163. Prime factorization of 69780 in exponential form is:

69780 = 2² × 3¹ × 5¹ × 1163¹

Step-2: Prime Factorization of 69790

Prime factors of 69790 are 2, 5, 7, 997. Prime factorization of 69790 in exponential form is:

69790 = 2¹ × 5¹ × 7¹ × 997¹

Step-3: Factors of 69780

List of positive integer factors of 69780 that divides 69780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1163, 2326, 3489, 4652, 5815, 6978, 11630, 13956, 17445, 23260, 34890

Step-4: Factors of 69790

List of positive integer factors of 69790 that divides 69780 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 997, 1994, 4985, 6979, 9970, 13958, 34895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69780 and 69790. The biggest common factor number is the GCF number.
So the greatest common factor 69780 and 69790 is 10.

Also check out the Least Common Multiple of 69780 and 69790