What is the Greatest Common Factor of 68495 and 68509?

Greatest common factor (GCF) of 68495 and 68509 is 7.

GCF(68495,68509) = 7

We will now calculate the prime factors of 68495 and 68509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68495 and 68509.

How to find the GCF of 68495 and 68509?

We will first find the prime factorization of 68495 and 68509. After we will calculate the factors of 68495 and 68509 and find the biggest common factor number .

Step-1: Prime Factorization of 68495

Prime factors of 68495 are 5, 7, 19, 103. Prime factorization of 68495 in exponential form is:

68495 = 5¹ × 7¹ × 19¹ × 103¹

Step-2: Prime Factorization of 68509

Prime factors of 68509 are 7, 9787. Prime factorization of 68509 in exponential form is:

68509 = 7¹ × 9787¹

Step-3: Factors of 68495

List of positive integer factors of 68495 that divides 68495 without a remainder.

1, 5, 7, 19, 35, 95, 103, 133, 515, 665, 721, 1957, 3605, 9785, 13699

Step-4: Factors of 68509

List of positive integer factors of 68509 that divides 68495 without a remainder.

1, 7, 9787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68495 and 68509. The biggest common factor number is the GCF number.
So the greatest common factor 68495 and 68509 is 7.

Also check out the Least Common Multiple of 68495 and 68509