What is the Greatest Common Factor of 98070 and 98077?

Greatest common factor (GCF) of 98070 and 98077 is 7.

GCF(98070,98077) = 7

We will now calculate the prime factors of 98070 and 98077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98070 and 98077.

How to find the GCF of 98070 and 98077?

We will first find the prime factorization of 98070 and 98077. After we will calculate the factors of 98070 and 98077 and find the biggest common factor number .

Step-1: Prime Factorization of 98070

Prime factors of 98070 are 2, 3, 5, 7, 467. Prime factorization of 98070 in exponential form is:

98070 = 2¹ × 3¹ × 5¹ × 7¹ × 467¹

Step-2: Prime Factorization of 98077

Prime factors of 98077 are 7, 14011. Prime factorization of 98077 in exponential form is:

98077 = 7¹ × 14011¹

Step-3: Factors of 98070

List of positive integer factors of 98070 that divides 98070 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 467, 934, 1401, 2335, 2802, 3269, 4670, 6538, 7005, 9807, 14010, 16345, 19614, 32690, 49035

Step-4: Factors of 98077

List of positive integer factors of 98077 that divides 98070 without a remainder.

1, 7, 14011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98070 and 98077. The biggest common factor number is the GCF number.
So the greatest common factor 98070 and 98077 is 7.

Also check out the Least Common Multiple of 98070 and 98077