What is the Greatest Common Factor of 46280 and 46290?

Greatest common factor (GCF) of 46280 and 46290 is 10.

GCF(46280,46290) = 10

We will now calculate the prime factors of 46280 and 46290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46280 and 46290.

How to find the GCF of 46280 and 46290?

We will first find the prime factorization of 46280 and 46290. After we will calculate the factors of 46280 and 46290 and find the biggest common factor number .

Step-1: Prime Factorization of 46280

Prime factors of 46280 are 2, 5, 13, 89. Prime factorization of 46280 in exponential form is:

46280 = 2³ × 5¹ × 13¹ × 89¹

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 46280

List of positive integer factors of 46280 that divides 46280 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 89, 104, 130, 178, 260, 356, 445, 520, 712, 890, 1157, 1780, 2314, 3560, 4628, 5785, 9256, 11570, 23140

Step-4: Factors of 46290

List of positive integer factors of 46290 that divides 46280 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 46280 and 46290. The biggest common factor number is the GCF number.
So the greatest common factor 46280 and 46290 is 10.

Also check out the Least Common Multiple of 46280 and 46290