What is the Greatest Common Factor of 98068 and 98080?

Greatest common factor (GCF) of 98068 and 98080 is 4.

GCF(98068,98080) = 4

We will now calculate the prime factors of 98068 and 98080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98068 and 98080.

How to find the GCF of 98068 and 98080?

We will first find the prime factorization of 98068 and 98080. After we will calculate the factors of 98068 and 98080 and find the biggest common factor number .

Step-1: Prime Factorization of 98068

Prime factors of 98068 are 2, 24517. Prime factorization of 98068 in exponential form is:

98068 = 2² × 24517¹

Step-2: Prime Factorization of 98080

Prime factors of 98080 are 2, 5, 613. Prime factorization of 98080 in exponential form is:

98080 = 2⁵ × 5¹ × 613¹

Step-3: Factors of 98068

List of positive integer factors of 98068 that divides 98068 without a remainder.

1, 2, 4, 24517, 49034

Step-4: Factors of 98080

List of positive integer factors of 98080 that divides 98068 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 613, 1226, 2452, 3065, 4904, 6130, 9808, 12260, 19616, 24520, 49040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98068 and 98080. The biggest common factor number is the GCF number.
So the greatest common factor 98068 and 98080 is 4.

Also check out the Least Common Multiple of 98068 and 98080