What is the Greatest Common Factor of 46270 and 46290?

Greatest common factor (GCF) of 46270 and 46290 is 10.

GCF(46270,46290) = 10

We will now calculate the prime factors of 46270 and 46290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46270 and 46290.

How to find the GCF of 46270 and 46290?

We will first find the prime factorization of 46270 and 46290. After we will calculate the factors of 46270 and 46290 and find the biggest common factor number .

Step-1: Prime Factorization of 46270

Prime factors of 46270 are 2, 5, 7, 661. Prime factorization of 46270 in exponential form is:

46270 = 2¹ × 5¹ × 7¹ × 661¹

Step-2: Prime Factorization of 46290

Prime factors of 46290 are 2, 3, 5, 1543. Prime factorization of 46290 in exponential form is:

46290 = 2¹ × 3¹ × 5¹ × 1543¹

Step-3: Factors of 46270

List of positive integer factors of 46270 that divides 46270 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 661, 1322, 3305, 4627, 6610, 9254, 23135

Step-4: Factors of 46290

List of positive integer factors of 46290 that divides 46270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1543, 3086, 4629, 7715, 9258, 15430, 23145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46270 and 46290. The biggest common factor number is the GCF number.
So the greatest common factor 46270 and 46290 is 10.

Also check out the Least Common Multiple of 46270 and 46290