What is the Greatest Common Factor of 70030 and 70050?

Greatest common factor (GCF) of 70030 and 70050 is 10.

GCF(70030,70050) = 10

We will now calculate the prime factors of 70030 and 70050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70030 and 70050.

How to find the GCF of 70030 and 70050?

We will first find the prime factorization of 70030 and 70050. After we will calculate the factors of 70030 and 70050 and find the biggest common factor number .

Step-1: Prime Factorization of 70030

Prime factors of 70030 are 2, 5, 47, 149. Prime factorization of 70030 in exponential form is:

70030 = 2¹ × 5¹ × 47¹ × 149¹

Step-2: Prime Factorization of 70050

Prime factors of 70050 are 2, 3, 5, 467. Prime factorization of 70050 in exponential form is:

70050 = 2¹ × 3¹ × 5² × 467¹

Step-3: Factors of 70030

List of positive integer factors of 70030 that divides 70030 without a remainder.

1, 2, 5, 10, 47, 94, 149, 235, 298, 470, 745, 1490, 7003, 14006, 35015

Step-4: Factors of 70050

List of positive integer factors of 70050 that divides 70030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 467, 934, 1401, 2335, 2802, 4670, 7005, 11675, 14010, 23350, 35025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70030 and 70050. The biggest common factor number is the GCF number.
So the greatest common factor 70030 and 70050 is 10.

Also check out the Least Common Multiple of 70030 and 70050