What is the Greatest Common Factor of 70290 and 70300?

Greatest common factor (GCF) of 70290 and 70300 is 10.

GCF(70290,70300) = 10

We will now calculate the prime factors of 70290 and 70300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70290 and 70300.

How to find the GCF of 70290 and 70300?

We will first find the prime factorization of 70290 and 70300. After we will calculate the factors of 70290 and 70300 and find the biggest common factor number .

Step-1: Prime Factorization of 70290

Prime factors of 70290 are 2, 3, 5, 11, 71. Prime factorization of 70290 in exponential form is:

70290 = 2¹ × 3² × 5¹ × 11¹ × 71¹

Step-2: Prime Factorization of 70300

Prime factors of 70300 are 2, 5, 19, 37. Prime factorization of 70300 in exponential form is:

70300 = 2² × 5² × 19¹ × 37¹

Step-3: Factors of 70290

List of positive integer factors of 70290 that divides 70290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 71, 90, 99, 110, 142, 165, 198, 213, 330, 355, 426, 495, 639, 710, 781, 990, 1065, 1278, 1562, 2130, 2343, 3195, 3905, 4686, 6390, 7029, 7810, 11715, 14058, 23430, 35145

Step-4: Factors of 70300

List of positive integer factors of 70300 that divides 70290 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 37, 38, 50, 74, 76, 95, 100, 148, 185, 190, 370, 380, 475, 703, 740, 925, 950, 1406, 1850, 1900, 2812, 3515, 3700, 7030, 14060, 17575, 35150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70290 and 70300. The biggest common factor number is the GCF number.
So the greatest common factor 70290 and 70300 is 10.

Also check out the Least Common Multiple of 70290 and 70300