What is the Greatest Common Factor of 59954 and 59968?

Greatest common factor (GCF) of 59954 and 59968 is 2.

GCF(59954,59968) = 2

We will now calculate the prime factors of 59954 and 59968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59954 and 59968.

How to find the GCF of 59954 and 59968?

We will first find the prime factorization of 59954 and 59968. After we will calculate the factors of 59954 and 59968 and find the biggest common factor number .

Step-1: Prime Factorization of 59954

Prime factors of 59954 are 2, 31, 967. Prime factorization of 59954 in exponential form is:

59954 = 2¹ × 31¹ × 967¹

Step-2: Prime Factorization of 59968

Prime factors of 59968 are 2, 937. Prime factorization of 59968 in exponential form is:

59968 = 2⁶ × 937¹

Step-3: Factors of 59954

List of positive integer factors of 59954 that divides 59954 without a remainder.

1, 2, 31, 62, 967, 1934, 29977

Step-4: Factors of 59968

List of positive integer factors of 59968 that divides 59954 without a remainder.

1, 2, 4, 8, 16, 32, 64, 937, 1874, 3748, 7496, 14992, 29984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59954 and 59968. The biggest common factor number is the GCF number.
So the greatest common factor 59954 and 59968 is 2.

Also check out the Least Common Multiple of 59954 and 59968