What is the Greatest Common Factor of 70340 and 70350?

Greatest common factor (GCF) of 70340 and 70350 is 10.

GCF(70340,70350) = 10

We will now calculate the prime factors of 70340 and 70350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70340 and 70350.

How to find the GCF of 70340 and 70350?

We will first find the prime factorization of 70340 and 70350. After we will calculate the factors of 70340 and 70350 and find the biggest common factor number .

Step-1: Prime Factorization of 70340

Prime factors of 70340 are 2, 5, 3517. Prime factorization of 70340 in exponential form is:

70340 = 2² × 5¹ × 3517¹

Step-2: 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-3: Factors of 70340

List of positive integer factors of 70340 that divides 70340 without a remainder.

1, 2, 4, 5, 10, 20, 3517, 7034, 14068, 17585, 35170

Step-4: Factors of 70350

List of positive integer factors of 70350 that divides 70340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70340 and 70350. The biggest common factor number is the GCF number.
So the greatest common factor 70340 and 70350 is 10.

Also check out the Least Common Multiple of 70340 and 70350