What is the Greatest Common Factor of 98070 and 98084?

Greatest common factor (GCF) of 98070 and 98084 is 14.

GCF(98070,98084) = 14

We will now calculate the prime factors of 98070 and 98084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98070 and 98084.

How to find the GCF of 98070 and 98084?

We will first find the prime factorization of 98070 and 98084. After we will calculate the factors of 98070 and 98084 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 98084

Prime factors of 98084 are 2, 7, 31, 113. Prime factorization of 98084 in exponential form is:

98084 = 2² × 7¹ × 31¹ × 113¹

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 98084

List of positive integer factors of 98084 that divides 98070 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 113, 124, 217, 226, 434, 452, 791, 868, 1582, 3164, 3503, 7006, 14012, 24521, 49042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98070 and 98084. The biggest common factor number is the GCF number.
So the greatest common factor 98070 and 98084 is 14.

Also check out the Least Common Multiple of 98070 and 98084