What is the Greatest Common Factor of 64940 and 64949?

Greatest common factor (GCF) of 64940 and 64949 is 1.

GCF(64940,64949) = 1

We will now calculate the prime factors of 64940 and 64949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64940 and 64949.

How to find the GCF of 64940 and 64949?

We will first find the prime factorization of 64940 and 64949. After we will calculate the factors of 64940 and 64949 and find the biggest common factor number .

Step-1: Prime Factorization of 64940

Prime factors of 64940 are 2, 5, 17, 191. Prime factorization of 64940 in exponential form is:

64940 = 2² × 5¹ × 17¹ × 191¹

Step-2: Prime Factorization of 64949

Prime factors of 64949 are 107, 607. Prime factorization of 64949 in exponential form is:

64949 = 107¹ × 607¹

Step-3: Factors of 64940

List of positive integer factors of 64940 that divides 64940 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 191, 340, 382, 764, 955, 1910, 3247, 3820, 6494, 12988, 16235, 32470

Step-4: Factors of 64949

List of positive integer factors of 64949 that divides 64940 without a remainder.

1, 107, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64940 and 64949. The biggest common factor number is the GCF number.
So the greatest common factor 64940 and 64949 is 1.

Also check out the Least Common Multiple of 64940 and 64949