What is the Greatest Common Factor of 70350 and 70364?

Greatest common factor (GCF) of 70350 and 70364 is 14.

GCF(70350,70364) = 14

We will now calculate the prime factors of 70350 and 70364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70350 and 70364.

How to find the GCF of 70350 and 70364?

We will first find the prime factorization of 70350 and 70364. After we will calculate the factors of 70350 and 70364 and find the biggest common factor number .

Step-1: Prime Factorization of 70350

Prime factors of 70350 are 2, 3, 5, 7, 67. Prime factorization of 70350 in exponential form is:

70350 = 2¹ × 3¹ × 5² × 7¹ × 67¹

Step-2: Prime Factorization of 70364

Prime factors of 70364 are 2, 7, 359. Prime factorization of 70364 in exponential form is:

70364 = 2² × 7² × 359¹

Step-3: Factors of 70350

List of positive integer factors of 70350 that divides 70350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 67, 70, 75, 105, 134, 150, 175, 201, 210, 335, 350, 402, 469, 525, 670, 938, 1005, 1050, 1407, 1675, 2010, 2345, 2814, 3350, 4690, 5025, 7035, 10050, 11725, 14070, 23450, 35175

Step-4: Factors of 70364

List of positive integer factors of 70364 that divides 70350 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 359, 718, 1436, 2513, 5026, 10052, 17591, 35182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70350 and 70364. The biggest common factor number is the GCF number.
So the greatest common factor 70350 and 70364 is 14.

Also check out the Least Common Multiple of 70350 and 70364