What is the Greatest Common Factor of 46060 and 46070?

Greatest common factor (GCF) of 46060 and 46070 is 10.

GCF(46060,46070) = 10

We will now calculate the prime factors of 46060 and 46070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46060 and 46070.

How to find the GCF of 46060 and 46070?

We will first find the prime factorization of 46060 and 46070. After we will calculate the factors of 46060 and 46070 and find the biggest common factor number .

Step-1: Prime Factorization of 46060

Prime factors of 46060 are 2, 5, 7, 47. Prime factorization of 46060 in exponential form is:

46060 = 2² × 5¹ × 7² × 47¹

Step-2: Prime Factorization of 46070

Prime factors of 46070 are 2, 5, 17, 271. Prime factorization of 46070 in exponential form is:

46070 = 2¹ × 5¹ × 17¹ × 271¹

Step-3: Factors of 46060

List of positive integer factors of 46060 that divides 46060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 49, 70, 94, 98, 140, 188, 196, 235, 245, 329, 470, 490, 658, 940, 980, 1316, 1645, 2303, 3290, 4606, 6580, 9212, 11515, 23030

Step-4: Factors of 46070

List of positive integer factors of 46070 that divides 46060 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 271, 542, 1355, 2710, 4607, 9214, 23035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46060 and 46070. The biggest common factor number is the GCF number.
So the greatest common factor 46060 and 46070 is 10.

Also check out the Least Common Multiple of 46060 and 46070