What is the Greatest Common Factor of 84940 and 84948?

Greatest common factor (GCF) of 84940 and 84948 is 4.

GCF(84940,84948) = 4

We will now calculate the prime factors of 84940 and 84948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84940 and 84948.

How to find the GCF of 84940 and 84948?

We will first find the prime factorization of 84940 and 84948. After we will calculate the factors of 84940 and 84948 and find the biggest common factor number .

Step-1: Prime Factorization of 84940

Prime factors of 84940 are 2, 5, 31, 137. Prime factorization of 84940 in exponential form is:

84940 = 2² × 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 84948

Prime factors of 84948 are 2, 3, 7079. Prime factorization of 84948 in exponential form is:

84948 = 2² × 3¹ × 7079¹

Step-3: Factors of 84940

List of positive integer factors of 84940 that divides 84940 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 137, 155, 274, 310, 548, 620, 685, 1370, 2740, 4247, 8494, 16988, 21235, 42470

Step-4: Factors of 84948

List of positive integer factors of 84948 that divides 84940 without a remainder.

1, 2, 3, 4, 6, 12, 7079, 14158, 21237, 28316, 42474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84940 and 84948. The biggest common factor number is the GCF number.
So the greatest common factor 84940 and 84948 is 4.

Also check out the Least Common Multiple of 84940 and 84948