What is the Greatest Common Factor of 83070 and 83080?

Greatest common factor (GCF) of 83070 and 83080 is 10.

GCF(83070,83080) = 10

We will now calculate the prime factors of 83070 and 83080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83070 and 83080.

How to find the GCF of 83070 and 83080?

We will first find the prime factorization of 83070 and 83080. After we will calculate the factors of 83070 and 83080 and find the biggest common factor number .

Step-1: Prime Factorization of 83070

Prime factors of 83070 are 2, 3, 5, 13, 71. Prime factorization of 83070 in exponential form is:

83070 = 2¹ × 3² × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 83080

Prime factors of 83080 are 2, 5, 31, 67. Prime factorization of 83080 in exponential form is:

83080 = 2³ × 5¹ × 31¹ × 67¹

Step-3: Factors of 83070

List of positive integer factors of 83070 that divides 83070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 71, 78, 90, 117, 130, 142, 195, 213, 234, 355, 390, 426, 585, 639, 710, 923, 1065, 1170, 1278, 1846, 2130, 2769, 3195, 4615, 5538, 6390, 8307, 9230, 13845, 16614, 27690, 41535

Step-4: Factors of 83080

List of positive integer factors of 83080 that divides 83070 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 67, 124, 134, 155, 248, 268, 310, 335, 536, 620, 670, 1240, 1340, 2077, 2680, 4154, 8308, 10385, 16616, 20770, 41540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83070 and 83080. The biggest common factor number is the GCF number.
So the greatest common factor 83070 and 83080 is 10.

Also check out the Least Common Multiple of 83070 and 83080