What is the Greatest Common Factor of 69760 and 69770?

Greatest common factor (GCF) of 69760 and 69770 is 10.

GCF(69760,69770) = 10

We will now calculate the prime factors of 69760 and 69770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69760 and 69770.

How to find the GCF of 69760 and 69770?

We will first find the prime factorization of 69760 and 69770. After we will calculate the factors of 69760 and 69770 and find the biggest common factor number .

Step-1: Prime Factorization of 69760

Prime factors of 69760 are 2, 5, 109. Prime factorization of 69760 in exponential form is:

69760 = 2⁷ × 5¹ × 109¹

Step-2: Prime Factorization of 69770

Prime factors of 69770 are 2, 5, 6977. Prime factorization of 69770 in exponential form is:

69770 = 2¹ × 5¹ × 6977¹

Step-3: Factors of 69760

List of positive integer factors of 69760 that divides 69760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 128, 160, 218, 320, 436, 545, 640, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 13952, 17440, 34880

Step-4: Factors of 69770

List of positive integer factors of 69770 that divides 69760 without a remainder.

1, 2, 5, 10, 6977, 13954, 34885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69760 and 69770. The biggest common factor number is the GCF number.
So the greatest common factor 69760 and 69770 is 10.

Also check out the Least Common Multiple of 69760 and 69770