What is the Greatest Common Factor of 68972 and 68990?

Greatest common factor (GCF) of 68972 and 68990 is 2.

GCF(68972,68990) = 2

We will now calculate the prime factors of 68972 and 68990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68972 and 68990.

How to find the GCF of 68972 and 68990?

We will first find the prime factorization of 68972 and 68990. After we will calculate the factors of 68972 and 68990 and find the biggest common factor number .

Step-1: Prime Factorization of 68972

Prime factors of 68972 are 2, 43, 401. Prime factorization of 68972 in exponential form is:

68972 = 2² × 43¹ × 401¹

Step-2: Prime Factorization of 68990

Prime factors of 68990 are 2, 5, 6899. Prime factorization of 68990 in exponential form is:

68990 = 2¹ × 5¹ × 6899¹

Step-3: Factors of 68972

List of positive integer factors of 68972 that divides 68972 without a remainder.

1, 2, 4, 43, 86, 172, 401, 802, 1604, 17243, 34486

Step-4: Factors of 68990

List of positive integer factors of 68990 that divides 68972 without a remainder.

1, 2, 5, 10, 6899, 13798, 34495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68972 and 68990. The biggest common factor number is the GCF number.
So the greatest common factor 68972 and 68990 is 2.

Also check out the Least Common Multiple of 68972 and 68990